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390447 = 3314461
BaseRepresentation
bin1011111010100101111
3201211121000
41133110233
544443242
612211343
73214221
oct1372457
9654530
10390447
11247392
12169b53
13108945
14a2411
157aa4c
hex5f52f

390447 has 8 divisors (see below), whose sum is σ = 578480. Its totient is φ = 260280.

The previous prime is 390437. The next prime is 390449. The reversal of 390447 is 744093.

It is not a de Polignac number, because 390447 - 28 = 390191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 14461 = 390447 / (3 + 9 + 0 + 4 + 4 + 7).

It is a Duffinian number.

390447 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 390447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7204 + ... + 7257.

It is an arithmetic number, because the mean of its divisors is an integer number (72310).

2390447 is an apocalyptic number.

390447 is a deficient number, since it is larger than the sum of its proper divisors (188033).

390447 is a wasteful number, since it uses less digits than its factorization.

390447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 390447 is about 624.8575837741. The cubic root of 390447 is about 73.0893382983.

The spelling of 390447 in words is "three hundred ninety thousand, four hundred forty-seven".

Divisors: 1 3 9 27 14461 43383 130149 390447